integral from 0 to 2 of (x^3+x)

Lösung

\int_{0}^{2} (x^{3} + x) d x

6

Schritte zur Lösung

\int_{0}^{2} x^{3} + x d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{2} x^{3} d x + \int_{0}^{2} x d x

\int_{0}^{2} x^{3} d x = 4

\int_{0}^{2} x d x = 2

= 4 + 2

Vereinfache

= 6

\int_{0}^{1} 2 x (x^{2} + 3)^{3} d x

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